On the classification of fractal square dendrites Научная публикация
| Журнал |
Advances in the Theory of Nonlinear Analysis and its Applications
, E-ISSN: 2587-2648 |
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| Вых. Данные | Год: 2023, Том: 7, Номер: 3, Номер статьи : 276, Страниц : 18 DOI: 10.17762/atnaa.v7.i3.276 | ||||
| Ключевые слова | fractal square, dendrite, self-similar boundary, main tree, ramification point | ||||
| Авторы |
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| Организации |
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Информация о финансировании (1)
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Министерство науки и высшего образования РФ Математический центр в Академгородке |
075-15-2019-1613, 075-15-2022-281 |
Реферат:
We consider the classification of fractal square dendrites K based on the types of the self-similar boundary ∂K and the main tree γ of such dendrites. We show that the self-similar boundary of a fractal square dendrite K may be of 5 possible types and may consist of 3,4 or 6 points. We prove that the main trees of fractal square dendrites belong to 7 possible classes. Bearing in mind the placement and orders of the points of ∂K with respect to the main tree γ, this results in 16 possible types of main trees for non-degenerate fractal square dendrites.
Библиографическая ссылка:
Drozdov D.A.
, Tetenov A.V.
On the classification of fractal square dendrites
Advances in the Theory of Nonlinear Analysis and its Applications. 2023. V.7. N3. 276 :1-18. DOI: 10.17762/atnaa.v7.i3.276 Scopus РИНЦ OpenAlex
On the classification of fractal square dendrites
Advances in the Theory of Nonlinear Analysis and its Applications. 2023. V.7. N3. 276 :1-18. DOI: 10.17762/atnaa.v7.i3.276 Scopus РИНЦ OpenAlex
Даты:
| Поступила в редакцию: | 4 авг. 2023 г. |
| Принята к публикации: | 12 окт. 2023 г. |
| Опубликована в печати: | 25 окт. 2023 г. |
| Опубликована online: | 25 окт. 2023 г. |
Идентификаторы БД:
| Scopus: | 2-s2.0-85189522604 |
| РИНЦ: | 65561285 |
| OpenAlex: | W4393342697 |